# Root systems and the Atiyah-Sutcliffe problem

@article{Malkoun2019RootSA, title={Root systems and the Atiyah-Sutcliffe problem}, author={Joseph Malkoun}, journal={Journal of Mathematical Physics}, year={2019} }

In this short note, we show that the Atiyah-Sutcliffe conjectures for $n = 2m$, related to the unitary groups $U(2m)$, imply the author's analogous conjectures, which are associated with the symplectic groups $Sp(m)$. The proof is based on the simple fact that the root system of $U(2m)$ dominates that of $Sp(m)$.

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